For the third one by hand, I was just trying to keep track of 1-2 of
the first digits for each section.

I broke into sections as follows  (^ to mean power here):

9! = (I just did this by hand, 1728x210=362880) ,  so we take  36.
10! to 19! =  approx 1^10 = 1
20! to 29! = approx 2^10 = 1024 = 10
30! to 39! = approx 3^10 =  3, 6, 9, 27, 81, 243, 72.., 216.., 63...,
189..  =  1
40! to 49! = 4^10 = 4, 16, 64, 25.., 10.., 4..  = this looked like a
pattern, the tenth one should be 1.. again   = 1
50! to 59! = 5^10 = 5, 25, 125, 60.. , 30.., 150.., 75..,  37.., 18..,
90  =  9
60! to 67! = 6^8 = 6, 36, 216, 126.. , 72..., 43.., 25..,  15..  = 1

so actually to correct what I had above, I was really looking to do
9*36  , (not 9*3=27), which gives  about 324,  or 3 for the first
digit.  This is just an approximation but it seems to work.

On Aug 30, 4:06 pm, kartik sachan <kartik.sac...@gmail.com> wrote:
> for 1st question ans will be a,b,e as (125)^1/3 is 5 sum is 8
> for 2nd question we see pattern in 7 power i.e 7,9,3,1 and this pattern
> reapeats for inerval of 4
> and second term of of any power of 7>=2 is 4
> so diff is 5
> ans will be 5
>
> how to find the ans of third question??

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